Database - mf_newspaces

Formats: - HTML - YAML - JSON - 2026-10-25T13:42:25.408942

Query: /api/mf_newspaces/?_offset=0

Table mf_newspaces

Newspaces $S_k^{\rm new}(N,\chi)$ of modular forms

Column	Type	Example
ALdims	integer[]
ALdims_eis_new	integer[]
ALdims_eis_old	integer[]
ALdims_old	integer[]
Nk2	integer	7844
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision	15.658663836373083
char_conductor	integer	1961
char_degree	integer	6
char_is_real	boolean	False
char_orbit_index	smallint	23
char_orbit_label	text	'w'
char_order	integer	18
char_parity	smallint	1
char_values	jsonb	[1961, 18, [372, 1592], [11, 9]]
conrey_index	integer	317
cusp_dim	integer	1008
dihedral_dim	integer
dim	integer	1008
eis_dim	integer	24
eis_new_dim	integer	24
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint	1511862044585
hecke_orbit_dims	integer[]
label	text	'1961.2.w'
level	integer	1961
level_is_powerful	boolean	False
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean	False
level_is_square	boolean	False
level_is_squarefree	boolean	True
level_primes	integer[]	[37, 53]
level_radical	integer	1961
mf_dim	integer	1032
mf_new_dim	integer	1032
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint	23
relative_dim	integer	168
s4_dim	integer
sturm_bound	integer	342
trace_bound	integer
trace_display	numeric[]	[0, 0, 0, -12]
traces	numeric[]	[1008, 0, 0, -6, 0, 0, -12, 0, -6, 6, 18, 0, -12, 0, 18, 42, -36, 0, 0, 0, 0, 0, 0, 24, 24, 0, 0, -3...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 3775, 'a4_dim': 0, 'a5_dim': 8, 'analytic_conductor': 1.8839704226895841, 'char_conductor': 755, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': -1, 'char_values': [3775, 2, [152, 3026], [1, 1]], 'conrey_index': 3774, 'cusp_dim': 36, 'dihedral_dim': 6, 'dim': 14, 'eis_dim': 6, 'eis_new_dim': 2, 'hecke_orbit_code': 137455734463, 'hecke_orbit_dims': [4, 4, 6], 'id': 831288, 'label': '3775.1.c', 'level': 3775, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 151], 'level_radical': 755, 'mf_dim': 42, 'mf_new_dim': 16, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 14, 's4_dim': 0, 'sturm_bound': 380, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [14, 0, 0, -8, 0, 0, 0, 0, -6, 0, -2, 0, 0, 0, 0, 2, 0, 0, -6, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 8, 0, 4, 0, 0, 4, 0, 0, 0, 0, -8, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 4, 0, 0, 0, 0, -8, 0, 0, 0, 0, 12, 0, -2, 0, 0, 0, 0, -2, 0, 0, 12, 0, -8, 0, 0, 0, 0, 8, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, -4, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -6, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -10, 0, 0, -22, 0, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, -2, 0, 0, 6, 0, -6, 0, 0, 0, 0, -8, 0, 0, -4, 0, 16, 0, 0, -4, 0, -10, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 10, 0, -4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, 18, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 12, 0, 0, 0, 0, 8, 0, 0, 8, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 4, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -10, 0, 0, 10, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, 0, -2, 0, 0, -12, 0, 0, 0, 0, 2, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -12, 0, 0, -6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, -12, 0, 2, 0, 0, 4, 0, -12, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 12, 0, 0, 0, 0, 16, 0, 0, 0, 0, 4, 0, -10, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 10, 0, -16, 0, 0, 0, 0, -8, 0, 0, 4, 0, 10, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, -8, 0, 0, 0, 0, -10, 0, 0, 0, 0, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, -12, 0, 0, 2, 0, -4, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, -8, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 6, 0, 0, 12, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 6, 0, 0, 0, 0, -6, 0, 0, 12, 0, 12, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}